St. Joseph's College 2008-2009 Mathematics Project Topic: Pythagoras Theorem Members: Ng King Hay (27) Benjamin Poon (28) ...
Introduction <ul><li>Pythagoras Theorem
Want to know more about it
History of Pythagoras
Useful to daily life or professional
Know more about triangles  </li></ul>
Pythagoras Theorem <ul><li>For right-angled triangles
T he hypotenuse square of a right-angled  triangle is equal to the square of opposite side  and the adjacent side
a^2+b^2=c^2 </li></ul>
 
History <ul><li>Born on the island of Samos in Greece
Founding a group, the Brotherhood of  Pythagoreans
Found the theorem and spread it out
Useful for us to know more about triangles </li></ul>
Examples AC^2=7^2+24^2 AC^2=625 AC=625 square Therefore AC=25
Converse of Pyth. Theorem <ul><li>Know the length of every line of a right-angled  triangle
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  1. 1. St. Joseph's College 2008-2009 Mathematics Project Topic: Pythagoras Theorem Members: Ng King Hay (27) Benjamin Poon (28) Alex Tam (35) Jones Cheung (5) Alexander Shiu (32)
  2. 2. Introduction <ul><li>Pythagoras Theorem
  3. 3. Want to know more about it
  4. 4. History of Pythagoras
  5. 5. Useful to daily life or professional
  6. 6. Know more about triangles </li></ul>
  7. 7. Pythagoras Theorem <ul><li>For right-angled triangles
  8. 8. T he hypotenuse square of a right-angled triangle is equal to the square of opposite side and the adjacent side
  9. 9. a^2+b^2=c^2 </li></ul>
  10. 11. History <ul><li>Born on the island of Samos in Greece
  11. 12. Founding a group, the Brotherhood of Pythagoreans
  12. 13. Found the theorem and spread it out
  13. 14. Useful for us to know more about triangles </li></ul>
  14. 15. Examples AC^2=7^2+24^2 AC^2=625 AC=625 square Therefore AC=25
  15. 16. Converse of Pyth. Theorem <ul><li>Know the length of every line of a right-angled triangle
  16. 17. Know the triangle is right-angled or not
  17. 18. To know more about triangles </li></ul>
  18. 19. Euclid <ul><li>Converse of Pyth. Theorem is not found by Pythagoras
  19. 20. Found by a man called Euclid
  20. 21. First proposed and proved by Euclid
  21. 22. Very useful for mathematics nowadays </li></ul>
  22. 24. History <ul><li>A Greek mathematician
  23. 25. Referred to as the &quot;Father of Geometry&quot;
  24. 26. Wrote works on perspective and conic sections
  25. 27. Main article: Euclid's Elements </li></ul>
  26. 28. Examples 4^2+3^2=25 5^2=25 Because 4^2+3^2=5^2=25 Therefore this triangle is an right-angled triangle with angle X =90 degree. (converse of Pyth. Theorem)
  27. 29. Problems we encountered <ul><li>Search for information
  28. 30. Hold a meeting
  29. 31. Work as a team
  30. 32. Have arguments between members
  31. 33. Choose a suitable topic </li></ul>
  32. 34. Conclusion <ul><li>All members have worked hard
  33. 35. Successful hold a meeting at 15 th May
  34. 36. Find some useful websites
  35. 37. Less arguments between members </li></ul>
  36. 38. Acknowledgement <ul><li>Thank for wikipedia and yahoo for giving us information
  37. 39. Thank for Ms Tsoi for giving us professional ideas
  38. 40. Thank for some classmates gave us useful knowledge about Maths </li></ul>
  39. 41. References Books: 1. Pythagoras 's Theorem 2. Beauty proof of Mathematics 3. Converse of Pythagoras Theorem 4. Euclid Websites: 1. www.wikipedia.com 2. http://www.groups.dcs.st.and.ac.uk/ ~history/Biographies/Euclid.html 3. http://www.pbs.org/wgbh/nova/proof/ puzzle/theorem.html
  40. 42. ~End~

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